Details

sample23.0ms

Algorithm

intervals

Results

7.0ms	233×	body	80	valid
2.0ms	10×	body	1280	valid
1.0ms	6×	body	640	valid
1.0ms	4×	body	2560	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4327
8	1259
7	477
6	204
5	93
4	40
3	29
2	19
1	12
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r-` `sum-log` `flip3-+` `add-cbrt-cube` `div-sub` `add-exp-log` `add-cube-cbrt` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

19.0ms

(+ x (/ (- x y) 2.0))

series54.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(+ x (/ (- x y) 2.0))

simplify1.9s

Counts

16 → 16

Iterations

Iter	Nodes
done	5000
4	3912
3	803
2	250
1	92
0	34

prune92.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

157.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
27.0ms	(cbrt (+ x (/ (- x y) 2.0)))
31.0ms	(cbrt (+ x (/ (- x y) 2.0)))
20.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.1s

Counts

4 → 12

Calls

4 calls:

502.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
544.0ms	(cbrt (+ x (/ (- x y) 2.0)))
479.0ms	(cbrt (+ x (/ (- x y) 2.0)))
561.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify1.5s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	888
1	285
0	129

prune534.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0)))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
42×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
36×	`cbrt-div`
22×	`add-cube-cbrt`
12×	`swap-sqr`
11×	`pow1`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out` `unswap-sqr`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 118

Calls

4 calls:

197.0ms	(* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0)))))
25.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
16.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
19.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series2.2s

Counts

4 → 12

Calls

4 calls:

574.0ms	(* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0)))))
537.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
489.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
594.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify2.3s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	1052
1	313
0	157

prune844.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0)))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
42×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
36×	`cbrt-div`
22×	`add-cube-cbrt`
12×	`swap-sqr`
11×	`pow1`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out` `unswap-sqr`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 118

Calls

4 calls:

183.0ms	(* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0)))))
30.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
32.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
31.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series2.4s

Counts

4 → 12

Calls

4 calls:

595.0ms	(* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0)))))
596.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
567.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
623.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify1.6s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	1052
1	313
0	157

prune778.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes289.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample621.0ms

Algorithm

intervals

Results

324.0ms	7390×	body	80	valid
60.0ms	208×	body	1280	valid
20.0ms	173×	body	640	valid
16.0ms	91×	body	2560	valid
9.0ms	103×	body	320	valid
2.0ms	40×	body	160	valid